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Finding the Fourth Proportional to 794.64, 1,097.24 and 628.72

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Solution

The fourth proportional to 794.64, 1,097.24 and 628.72 is: 868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.64 : 1,097.24 = 628.72 : x
  2. Step 2: Convert to fraction form
    794.64/1,097.24 = 628.72/x
  3. Step 3: Cross multiply
    794.64x = 1,097.24 × 628.72
  4. Step 4: Simplify right side
    794.64x = 689,856.73
  5. Step 5: Solve for x
    x = 689,856.73/794.64
  6. Step 6: Final answer
    x = 868.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.